Information on Result #752999
Digital (27, 82, 37)-net over F3, using net from sequence based on digital (27, 36)-sequence over F3, using
- Niederreiter–Xing sequence construction III based on the algebraic function field F/F3 with g(F) = 26, N(F) = 36, and 1 place with degree 2 [i] based on function field F/F3 with g(F) = 26 and N(F) ≥ 36, using an explicitly constructive algebraic function field [i]
Mode: Constructive and linear.
Optimality
Show details for fixed k and m, k and s, k and t, m and s, m and t, t and s.
Other Results with Identical Parameters
None.
Depending Results
The following results depend on this result:
| Result | This result only | Method | ||
|---|---|---|---|---|
| 1 | Digital (28, 82, 37)-net over F3 | [i] | t-Expansion | |
| 2 | Digital (29, 82, 37)-net over F3 | [i] | ||
| 3 | Digital (30, 82, 37)-net over F3 | [i] | ||
| 4 | Digital (31, 82, 37)-net over F3 | [i] | ||
| 5 | Digital (114, 224, 75)-net over F3 | [i] | (u, u+v)-Construction for Nets | |
| 6 | Digital (121, 231, 79)-net over F3 | [i] | ||
| 7 | Digital (127, 237, 85)-net over F3 | [i] | ||
| 8 | Digital (114, 225, 75)-net over F3 | [i] | ||
| 9 | Digital (121, 232, 79)-net over F3 | [i] | ||
| 10 | Digital (127, 238, 85)-net over F3 | [i] | ||
| 11 | Linear OOA(382, 37, F3, 3, 55) (dual of [(37, 3), 29, 56]-NRT-code) | [i] | Extracting Embedded OOA | |
| 12 | Linear OOA(382, 37, F3, 4, 55) (dual of [(37, 4), 66, 56]-NRT-code) | [i] | ||
| 13 | Linear OOA(382, 37, F3, 5, 55) (dual of [(37, 5), 103, 56]-NRT-code) | [i] | ||